Navegar

Colección

Datos Estadísticas

Artículo

Lee, E.; Brachet, M.E.; Pouquet, A.; Mininni, P.D.; Rosenberg, D. "Lack of universality in decaying magnetohydrodynamic turbulence" (2010) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 81(1)
La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Using computations of three-dimensional magnetohydrodynamic (MHD) turbulence with a Taylor-Green flow, whose inherent time-independent symmetries are implemented numerically, and in the absence of either a forcing function or an imposed uniform magnetic field, we show that three different inertial ranges for the energy spectrum may emerge for three different initial magnetic fields, the selecting parameter being the ratio of nonlinear eddy to Alfvén time. Equivalent computational grids range from 1283 to 20483 points with a unit magnetic Prandtl number and a Taylor Reynolds number of up to 1500 at the peak of dissipation. We also show a convergence of our results with Reynolds number. Our study is consistent with previous findings of a variety of energy spectra in MHD turbulence by studies performed in the presence of both a forcing term with a given correlation time and a strong, uniform magnetic field. However, in contrast to the previous studies, here the ratio of characteristic time scales can only be ascribed to the intrinsic nonlinear dynamics of the paradigmatic flows under study. © 2010 The American Physical Society.

Registro:

Documento: Artículo
Título:Lack of universality in decaying magnetohydrodynamic turbulence
Autor:Lee, E.; Brachet, M.E.; Pouquet, A.; Mininni, P.D.; Rosenberg, D.
Filiación:Geophysical Turbulence Program, National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307-3000, United States
Centrum voor Plasma-Astrofysica, Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, Belgium
Icole Normale Supérieure, 24 Rue Lhomond, 75005 Paris, France
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Characteristic time; Computational grids; Correlation time; Energy spectra; Forcing function; Forcing terms; Magnetic Prandtl numbers; Magnetohydrodynamic turbulence; MHD turbulence; Non-linear dynamics; Taylor-Green flow; Taylor-Reynolds number; Magnetic fields; Reynolds number; Spectroscopy; Turbulence; Magnetohydrodynamics
Año:2010
Volumen:81
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevE.81.016318
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v81_n1_p_Lee

Referencias:

  • Kolmogorov, A.N., (1941) Dokl. Akad. Nauk. SSSR, 30, p. 9
  • Kolmogorov, A.N., (1941) Dokl. Akad. Nauk. SSSR, 32, p. 16
  • Kolmogorov, A.N., (1991) Proc. R. Soc. London, Ser. A, 434, p. 9. , 10.1098/rspa.1991.0075;
  • Kolmogorov, A.N., (1991) Proc. R. Soc. London, Ser. A, 434, p. 15. , 10.1098/rspa.1991.0076
  • Iroshnikov, P., (1963) Astron. Zh., 40, p. 742
  • Kraichnan, R.H., (1965) Phys. Fluids, 8, p. 1385. , 10.1063/1.1761412
  • Lehnert, B., (1955) Q. Appl. Math., 12, p. 321
  • Alemany, A., Moreau, R., Sulem, P.-L., Frisch, U., (1979) J. Mech., 18, p. 277
  • Garnier, M., Alemany, A., Sulem, P.-L., Pouquet, A., (1981) J. Mec., 20, p. 233
  • Strauss, H.R., (1976) Phys. Fluids, 19, p. 134. , 10.1063/1.861310
  • Montgomery, D., Turner, L., (1981) Phys. Fluids, 24, p. 825. , 10.1063/1.863455;
  • Veltri, P., Mangeney, A., Dobrowolny, M., (1982) Nuovo Cimento B, 68, p. 235. , 10.1007/BF02890146;
  • Shebalin, J., Matthaeus, W.H., Montgomery, D., (1983) J. Plasma Phys., 29, p. 525. , 10.1017/S0022377800000933
  • Carbone, V., Veltri, P., (1990) Geophys. Astrophys. Fluid Dyn., 52, p. 153. , 10.1080/03091929008219845;
  • Oughton, S., Priest, E.R., Matthaeus, W.H., (1994) J. Fluid Mech., 280, p. 95. , 10.1017/S0022112094002867;
  • Goldreich, P., Sridhar, S., (1997) Astrophys. J., 485, p. 680. , 10.1086/304442;
  • Ng, C.S., Bhattacharjee, A., (1997) Phys. Plasmas, 4, p. 605. , 10.1063/1.872158;
  • Kinney, R.M., McWilliams, J.C., (1997) J. Plasma Phys., 57, p. 73. , 10.1017/S0022377896005284;
  • Kinney, R.M., McWilliams, J.C., (1998) Phys. Rev. e, 57, p. 7111. , 10.1103/PhysRevE.57.7111
  • Galtier, S., Pouquet, A., Mangeney, A., (2005) Phys. Plasmas, 12, p. 092310. , 10.1063/1.2052507
  • Boldyrev, S., (2006) Phys. Rev. Lett., 96, p. 115002. , 10.1103/PhysRevLett.96.115002
  • Galtier, S., Nazarenko, S.V., Newell, A.C., Pouquet, A., (2000) J. Plasma Phys., 63, p. 447. , 10.1017/S0022377899008284;
  • Galtier, S., Nazarenko, S.V., Newell, A.C., Pouquet, A., (2002) Astrophys. J., 564, p. 49. , 10.1086/338791
  • Saur, J., Politano, H., Pouquet, A., Matthaeus, W.H., (2002) Astron. Astrophys., 386, p. 699. , 10.1051/0004-6361:20020305
  • Podesta, J.J., Roberts, D.A., Goldstein, M.L., (2007) Astrophys. J., 664, p. 543. , 10.1086/519211
  • Müller, W.-C., Grappin, R., (2005) Phys. Rev. Lett., 95, p. 114502. , 10.1103/PhysRevLett.95.114502
  • Mininni, P.D., Pouquet, A., (2007) Phys. Rev. Lett., 99, p. 254502. , 10.1103/PhysRevLett.99.254502
  • Mason, J., Cattaneo, F., Boldyrev, S., (2008) Phys. Rev. e, 77, p. 036403. , 10.1103/PhysRevE.77.036403
  • Perez, J., Boldyrev, S., (2008) Astrophys. J., 672, p. 61. , 10.1086/526342
  • Pouquet, A., Lee, E., Brachet, M.E., Mininni, P.D., Rosenberg, D., Geophys. Astrophys. Fluid Dyn.
  • e-print arXiv:0906.4860; Goldreich, P., Sridhar, S., (1995) Astrophys. J., 438, p. 763. , 10.1086/175121
  • Matthaeus, W.H., Goldstein, M.L., (1982) J. Geophys. Res., 87, p. 6011. , 10.1029/JA087iA08p06011
  • Politano, H., Pouquet, A., Carbone, V., (1998) Europhys. Lett., 43, p. 516. , 10.1209/epl/i1998-00391-2
  • Sorriso-Valvo, L., Carbone, V., Veltri, P., Politano, H., Pouquet, A., (2000) Europhys. Lett., 51, p. 520. , 10.1209/epl/i2000-00369-6
  • Mininni, P.D., Pouquet, A., (2009) Phys. Rev. e, 80, p. 025401. , 10.1103/PhysRevE.80.025401
  • Dmitruk, P., Gómez, D.O., Matthaeus, W.H., (2003) Phys. Plasmas, 10, p. 3584. , 10.1063/1.1602698
  • Rappazzo, A.F., Velli, M., Einaudi, G., Dahlburg, R.B., (2007) Astrophys. J., 657, p. 47. , 10.1086/512975
  • Bigot, B., Galtier, S., Politano, H., (2008) Phys. Rev. e, 78, p. 066301. , 10.1103/PhysRevE.78.066301
  • In two space dimensions, the slower decay of MHD turbulence, compared to Navier-Stokes flows, has been studied both with a model and with direct numerical simulations (see); Galtier, S., Politano, H., Pouquet, A., (1997) Phys. Rev. Lett., 79, p. 2807. , 10.1103/PhysRevLett.79.2807;
  • Galtier, S., Zienicke, E., Politano, H., Pouquet, A., (1999) J. Plasma Phys., 61, p. 507. , 10.1017/S0022377899007643
  • Frisch, U., Pouquet, A., Sulem, P.-L., Meneguzzi, M., (1983) J. Mec. Theor. Appl., 2, p. 191
  • Kerr, R.M., Brandenburg, A., (1999) Phys. Rev. Lett., 83, p. 1155. , 10.1103/PhysRevLett.83.1155
  • Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D., Rosenberg, D., (2008) Phys. Rev. e, 78, p. 066401. , 10.1103/PhysRevE.78.066401
  • Grauer, R., Marliani, C., (2000) Phys. Rev. Lett., 84, p. 4850. , 10.1103/PhysRevLett.84.4850
  • Taylor, G.I., Green, A.E., (1937) Proc. R. Soc. London, Ser. A, 158, p. 499. , 10.1098/rspa.1937.0036
  • Brachet, M.E., Meiron, D.I., Orszag, S.A., Nickel, B.G., Morf, R.H., Frisch, U., (1983) J. Fluid Mech., 130, p. 411. , 10.1017/S0022112083001159
  • Brachet, M.E., (1990) C. R. Acad Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers, 311, p. 775
  • Brachet, M.E., (1991) Fluid Dyn. Res., 8, p. 1. , 10.1016/0169-5983(91)90026-F
  • Nore, C., Brachet, M.E., Politano, H., Pouquet, A., (1997) Phys. Plasmas, 4, p. 1. , 10.1063/1.872578;
  • Ponty, Y., Mininni, P.D., Montgomery, D.C., Pinton, J.F., Politano, H., Pouquet, A., (2005) Phys. Rev. Lett., 94, p. 164502. , 10.1103/PhysRevLett.94.164502;
  • Ponty, Y., Mininni, P.D., Montgomery, D.C., Pinton, J.F., Politano, H., Pouquet, A., (2007) New J. Phys., 9, p. 296. , 10.1088/1367-2630/9/8/296;
  • Ponty, Y., Laval, J.P., Dubrulle, B., Daviaud, F., Pinton, J.F., (2007) Phys. Rev. Lett., 99, p. 224501. , 10.1103/PhysRevLett.99.224501;
  • Ponty, Y., Laval, J.P., Dubrulle, B., Daviaud, F., Pinton, J.F., (2008) C. R. Acad. Sci. (Paris), 9, p. 749. , 10.1016/j.crhy.2008.07.007
  • Bourgoin, M., (2002) Phys. Fluids, 14, p. 3046. , 10.1063/1.1497376
  • Gómez, D.O., Mininni, P.D., Dmitruk, P., (2005) Adv. Space Res., 35, p. 899. , 10.1016/j.asr.2005.02.099;
  • Gómez, D.O., Mininni, P.D., Dmitruk, P., (2005) Phys. Scr., T, 116, p. 123. , 10.1238/Physica.Topical.116a00123
  • Pouquet, A., Frisch, U., Léorat, J., (1976) J. Fluid Mech., 77, p. 321. , 10.1017/S0022112076002140
  • Biskamp, D., Welter, H., (1989) Phys. Fluids B, 1, p. 1964. , 10.1063/1.859060
  • Politano, H., Pouquet, A., Sulem, P.-L., (1989) Phys. Fluids B, 1, p. 2330. , 10.1063/1.859051
  • Kaneda, Y., (2003) Phys. Fluids, 15, p. 21. , 10.1063/1.1539855;
  • Mininni, P.D., Alexakis, A., Pouquet, A., (2008) Phys. Rev. e, 77, p. 036306. , 10.1103/PhysRevE.77.036306
  • Mininni, P.D., Pouquet, A.G., Montgomery, D.C., (2006) Phys. Rev. Lett., 97, p. 244503. , 10.1103/PhysRevLett.97.244503
  • The Taylor Reynolds number, whose given value is computed at the peak of dissipation, saturates from that time onward; Alexakis, A., Mininni, P.D., Pouquet, A., (2005) Phys. Rev. e, 72, p. 046301. , 10.1103/PhysRevE.72.046301;
  • Pietarila Graham, J., Mininni, P.D., Pouquet, A., (2009) Phys. Rev. e, 80, p. 016313. , 10.1103/PhysRevE.80.016313
  • Weygand, J.M., (2005) J. Geophys. Res., 110, p. 01205. , 10.1029/2004JA010581
  • Yoshida, K., Arimitsu, T., (2007) Phys. Fluids, 19, p. 045106. , 10.1063/1.2717687
  • Stribling, T., Matthaeus, W.H., (1990) Phys. Fluids B, 2, p. 1979. , 10.1063/1.859419
  • Meneguzzi, M., Politano, H., Pouquet, A., Zolver, M., (1996) J. Comput. Phys., 123, p. 32. , 10.1006/jcph.1996.0003
  • Baerenzung, J., Politano, H., Ponty, Y., Pouquet, A., (2008) Phys. Rev. e, 77, p. 046303. , 10.1103/PhysRevE.77.046303;
  • Baerenzung, J., Politano, H., Ponty, Y., Pouquet, A., (2008) Phys. Rev. e, 78, p. 026310. , 10.1103/PhysRevE.78.026310
  • Holm, D.D., (2002) Chaos, 12, p. 518. , 10.1063/1.1460941
  • Graham, J.P., Mininni, P.D., Pouquet, A., (2005) Phys. Rev. e, 72, p. 045301. , 10.1103/PhysRevE.72.045301;
  • Pietarila Graham, J., Holm, D.D., Mininni, P.D., Pouquet, A., (2006) Phys. Fluids, 18, p. 045106. , 10.1063/1.2194966

Citas:

---------- APA ----------
Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D. & Rosenberg, D. (2010) . Lack of universality in decaying magnetohydrodynamic turbulence. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 81(1).
http://dx.doi.org/10.1103/PhysRevE.81.016318
---------- CHICAGO ----------
Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D., Rosenberg, D. "Lack of universality in decaying magnetohydrodynamic turbulence" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 81, no. 1 (2010).
http://dx.doi.org/10.1103/PhysRevE.81.016318
---------- MLA ----------
Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D., Rosenberg, D. "Lack of universality in decaying magnetohydrodynamic turbulence" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 81, no. 1, 2010.
http://dx.doi.org/10.1103/PhysRevE.81.016318
---------- VANCOUVER ----------
Lee, E., Brachet, M.E., Pouquet, A., Mininni, P.D., Rosenberg, D. Lack of universality in decaying magnetohydrodynamic turbulence. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2010;81(1).
http://dx.doi.org/10.1103/PhysRevE.81.016318